Question
Write
2/78
in lowest terms.
2/78
in lowest terms.
Answers
GPT-4o mini
To simplify the fraction \( \frac{2}{78} \), we need to find the greatest common divisor (GCD) of the numerator (2) and the denominator (78).
The factors of 2 are: \( 1, 2 \).
The factors of 78 are: \( 1, 2, 3, 6, 13, 26, 39, 78 \).
The greatest common divisor of 2 and 78 is 2.
Now, we can divide both the numerator and the denominator by their GCD:
\[
\frac{2 \div 2}{78 \div 2} = \frac{1}{39}
\]
Thus, the fraction \( \frac{2}{78} \) in lowest terms is \( \frac{1}{39} \).
The factors of 2 are: \( 1, 2 \).
The factors of 78 are: \( 1, 2, 3, 6, 13, 26, 39, 78 \).
The greatest common divisor of 2 and 78 is 2.
Now, we can divide both the numerator and the denominator by their GCD:
\[
\frac{2 \div 2}{78 \div 2} = \frac{1}{39}
\]
Thus, the fraction \( \frac{2}{78} \) in lowest terms is \( \frac{1}{39} \).